Prove that the resulting series when x = 0 is conditionally convergent in the power series +00 (3x - 1)n n n=1 Then, look for its radius and interval of convergence.

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Q: 1. Evaluate the following definite integrals using the Fundamental The- orem of Calculus (b)+12+ dr

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Q: Solve y'' - 4y' + 29y = 0, y(0) = 3, y'(0) = y(t) = 9

A: The given differential equation is; y''-4y'+29y=0, y(0)=3, y'(0)=-9.

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A: Let's find Taylor series first four terms.

Q: Consider the following. B = {(1, 2, 16), (-1, 1, 8), (-3, 3, 28)}, B' = {(10, 3, 6), (3, 1, 2), (6,…

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Q: +∞ Y(-1)" In (1+¹) m

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A: The depth D that a sphere of radius R would need to be filled to be P percent filled can be…

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A: Here we have to determine the sum of convergent series.

Q: A Moving to the next question prevents changes to this answer. Question 4 Given: y² + t² + (e2y +…

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Q: Given: y' +=(1-2x)y4 and y(0) = 1, Find C 3 3 OA. O OB. 1 OC. 2 OD. 1/2 OE. None

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Q: x + 1 x-1 1. Given: f(x) a.) solve: (fog)(0) = and g(x) = x-3 x + 3 b.) Find the domain of f,domain…

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Q: Question 2 Given: y' +=(1-2x)y4 and y(0) = 1, Fin O A.0 OB. 1 OC. 2 OD. 1/2 O E. None

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